4133334168 has 192 divisors, whose sum is σ = 12130896960. Its totient is φ = 1266720768.

The previous prime is 4133334097. The next prime is 4133334169. The reversal of 4133334168 is 8614333314.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4133334169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14921646 + ... + 14921922.

It is an arithmetic number, because the mean of its divisors is an integer number (63181755).

Almost surely, 2^4133334168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4133334168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065448480).

4133334168 is an abundant number, since it is smaller than the sum of its proper divisors (7997562792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4133334168 is a wasteful number, since it uses less digits than its factorization.

4133334168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 539 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 4133334168 is about 64291.0115646036. The cubic root of 4133334168 is about 1604.8465244692.

The spelling of 4133334168 in words is "four billion, one hundred thirty-three million, three hundred thirty-four thousand, one hundred sixty-eight".